Dynamics of defects in the vector complex Ginzburg-Landau equation

M. HOYUELOS; E. HERNÁNDEZ-GARCÍA; P. COLET; M. SAN MIGUEL

PHYSICA D - NONLINEAR PHENOMENA

Año: 2003 vol. 174 p. 176 - 197

0167-2789

Coupled Ginzburg–Landau equations appear in a variety of contexts involving instabilities in oscillatory media. When the relevant unstable mode is of vectorial character (a common situation in nonlinear optics), the pair of coupled equations has special symmetries and can be written as a vector complex Ginzburg-Landau (CGL) equation. Dynamical properties of localized structures of topological character in this vector-field case are considered. Creation and annihilation processesof different kinds of vector defects are described, and some of them interpreted in theoretical terms. A transition between different regimes of spatiotemporal dynamics is described.